Ted and his classmates started watering flowers at 11:36 andfinished watering all the flowers at 13:25. If they wateredflowers at a constant rate, at what time did they finish watering4/7 of the flowers? Give your answer in a 24-hour clock format,such as 19:00.Enter the answer

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SOLUTION

The duration for watering the whole flower is

[tex]\begin{gathered} \text{ finishing time- starting time } \\ 13\colon25-11\colon36 \\ \end{gathered}[/tex]

Which is

[tex]1\text{hours 49minutes or 109 minutes }[/tex]

This means it takes 109minutes for watering the whole flowers.

The time taken for 4/7 of the flowers is

[tex]\begin{gathered} \frac{4}{7}0f\text{ 109} \\ \\ \frac{4}{7}\times109=\frac{436}{7}=62.29 \\ \\ \end{gathered}[/tex]

Then it takes 62minutes 29seconds to wet 4/7 of the flowers

[tex]\begin{gathered} 62\text{minutes 29 seconds will be } \\ 1\text{hours 0.5minutes } \end{gathered}[/tex]

The time they will finish watering 4/7 of the flowers will be

[tex]\begin{gathered} \text{starting time +Duration for 4/7 of the flowers } \\ 11\colon36+1;05 \\ 12\colon41 \end{gathered}[/tex]